| 基于广义可靠性的随机模糊杆系结构优化设计 |
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| 引用本文： | 陈建军,马芳,马洪波,王小兵,杜雷.基于广义可靠性的随机模糊杆系结构优化设计[J].应用力学学报,2005,22(1):26-29. |
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| 作者姓名： | 陈建军 马芳 马洪波 王小兵 杜雷 |
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| 作者单位： | 西安电子科技大学,西安,710071 |
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| 基金项目： | 陕西省自然科学基金项目资助(D7010418) |
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| 摘 要： | 研究了随机参数杆系结构的广义可靠性优化设计问题。导出了随机荷载作用下以模糊许用值为条件的结构广义可靠度计算公式;建立了以杆截面为设计变量、结构重量均值为目标函数、结构模糊位移和单元模糊强度广义可靠度为约束条件的优化数学模型;通过引入罚函数,将原广义可靠性约束优化问题转化为无约束优化问题,利用遗传算法求解。设计结果表明:文中提出的模型和计算公式是可行有效的。
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| 关 键 词： | 广义可靠度 随机结构 随机荷载 可靠性优化设计 罚函数法 遗传算法 |
| 文章编号： | 1000-4939(2005)01-0026-04 |
Optimization Design of Random Parameters Structures Based on General Reliability |
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| Chen Jianjun,Ma Fang,Ma Hongbo,WANG Xiaobing,Du Lei.Optimization Design of Random Parameters Structures Based on General Reliability[J].Chinese Journal of Applied Mechanics,2005,22(1):26-29. |
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| Authors: | Chen Jianjun Ma Fang Ma Hongbo WANG Xiaobing Du Lei |
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| Abstract: | An optimization design method for the random parameters structure based on general reliability is proposed, and the general reliability expressions of the random parameters truss constrained by a kind of fuzzy allowance under random loads are derived. The structural optimization design model is established in such form that the cross section areas are refered as the design variables, the minimum of the frame weight as the objective with the general reliability restricts of fuzzy stress and fuzzy displacement. A numerical example shows that the presented general reliability expressions and method enable to transform a constrained optimization problem into a nonrestraint one, combined genetic algorithm the penalty function, it is expected to obtain a satisfied result. |
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| Keywords: | general reliability random parameters structure random loads optimization design based on reliability penalty function method genetic algorithm |
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